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FORWARD STEP
Description of the problem
Numerical results
Bibliography
Description of the problem
This problem was for the first time presented in the work of
Woodward and P. Colella [1]. They solve the
inviscid flow in the channel containing the forward step.
The geometry of the problem can be viewed at
Fig.1.
There is the inlet part for x=0 and the outlet for x=3. Otherwise the
impermeable walls are considered.
Fig.1: Forward step.
We prescribe the following initial conditions: density = 1.4, vector
of velocty = (3.,0) and the pressure = 1. We are interested for the solution
at time T=2.5.
Numerical results
Here we solve in fact the system of the Euler equations. The finite
volume method was used for its discretizations. We present the
results received by triangular and barycentric finite volume
(see [2], [3]).
Here are available our numerical results:
Triangular finite volumes
Barycentric finite volumes
Triangular finite volumes - color figures
Bibliography
[1] P. Woodward and P. Colella: The Numerical Simulation of
Two-Dimensional Fluid Flow with Strong Shocks, J. of Comput. Phys,
54, pages 115-173, 1984
[2] J.Felcman and V.Dolejsi: Adaptive methods for the solution of the Euler
equations in elements of the blade machines.
ZAMM, 76:297-300, 1996.
[3] V.Dolejsi nad P. Angot:
Finite volume methods on unstructured meshes for compressible flows.
In F. Benkhaldoun and R. Vilsmeier eds., Finite Volumes for Complex
Applications (Problems and Perspectives), pages 667--674, 1996.